The Bellman-Ford Algorithm inputs a graph with edge weights, and finds the shortest path (i.e., the path minimizing thetotal weight of the edges on that path) between a given source vertex and each of the other vertices in the graph.In one of the optional videos 2 I distributed in the pre-class materials, the presenter walks through this specificexample, creating the final table of shortest paths from the source vertex S to each of the other vertices (A, B, C, D, E).10A,5 57 9-4SА в сDE2BConvince yourself that these numbers are correct.For example, the shortest path from S to C indeed has distance 7, and this path is S -> E -> D -> A-> C.You can quickly convince yourself that any path from S to C must require a total weight of 7, and that this numbercannot be lowered.Now suppose we change the weight of DA from -4 to -6.If we were to run the Bellman-Ford Algorithm on this data set, our final table will look like this:? ? ? ? ? ?SABCDEYour goal is to replace the ? marks with the actual numbers.Determine the numbers of this table.

It starts from a vertex and check to other nodes with minimum distance by traversing each path Total…

inputs a graph with edge weights, and finds the pat the otal weight of the edges on that path) between a given source vertex and each of the other vertices in the graph. n one of the optional videos I distributed in the pre-class materials, the presenter walks through this specific example, creating the final table of shortest paths from the source vertex S to each of the other vertices (A, B, C, D, E).

inputs a graph with edge weights, and finds the pat the otal weight of the edges on that path) between a given source vertex and each of the other vertices in the graph. n one of the optional videos I distributed in the pre-class materials, the presenter walks through this specific example, creating the final table of shortest paths from the source vertex S to each of the other vertices (A, B, C, D, E).

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

The Bellman-Ford Algorithm inputs a graph with edge weights, and finds the shortest path (i.e., the path minimizing the
total weight of the edges on that path) between a given source vertex and each of the other vertices in the graph.
In one of the optional videos 2 I distributed in the pre-class materials, the presenter walks through this specific
example, creating the final table of shortest paths from the source vertex S to each of the other vertices (A, B, C, D, E).
10
A,
5 5
7 9
-4
S
А в с
D
E
2
B
Convince yourself that these numbers are correct.
For example, the shortest path from S to C indeed has distance 7, and this path is S -> E -> D -> A-> C.
You can quickly convince yourself that any path from S to C must require a total weight of 7, and that this number
cannot be lowered.
Now suppose we change the weight of DA from -4 to -6.
If we were to run the Bellman-Ford Algorithm on this data set, our final table will look like this:
? ? ? ? ? ?
SABCDE
Your goal is to replace the ? marks with the actual numbers.
Determine the numbers of this table.

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